Geodesic
Mixed Moduli of Smoothness in Mixed Metrics
Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 747-761

Voir la notice de l'article provenant de la source Math-Net.Ru

For a mixed modulus of smoothness of positive order, its relationship with the norms of partial sums of a Fourier series in a mixed metric is obtained. The relation between mixed moduli of smoothness of positive order in different mixed metrics is established.
Keywords: mixed modulus of smoothness, Fourier series, measurable function, mixed metric, the Weyl derivative, trigonometric polynomial, Hölder's inequality. 
@article{MZM_2012_92_5_a9,
     author = {B. V. Simonov},
     title = {Mixed {Moduli} of {Smoothness} in {Mixed} {Metrics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {747--761},
     publisher = {mathdoc},
     volume = {92},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a9/}
}
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B. V. Simonov. Mixed Moduli of Smoothness in Mixed Metrics. Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 747-761. http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a9/